Write and evaluate the definite integral that represents the
area of the surface generated by revolving the curve on the
indicated interval about the x-axis. y = 36 − x2 , −5 ≤ x ≤ 5
Find the area of the segment of a sphere formed by revolving the
graph of
y =
81 − x2
, 0 ≤ x ≤ 8,
about the y-axis. (Round your answer to two
decimal places.)